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42255333355224 = 233111237129392143
BaseRepresentation
bin10011001101110010101100…
…01000100110111011011000
312112121120101211112020100210
421212321112020212323120
521014302410314331344
6225511455425131120
711620563360210123
oct1146712610467330
9175546354466323
1042255333355224
11125114280a28a0
1248a5449789aa0
131a76878b255c2
14a61251c153ba
154d4258d66db9
hex266e56226ed8

42255333355224 has 64 divisors (see below), whose sum is σ = 115334981475840. Its totient is φ = 12794295000960.

The previous prime is 42255333355217. The next prime is 42255333355243.

42255333355224 is nontrivially palindromic in base 10.

42255333355224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×422553333552242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64369504 + ... + 65022639.

It is an arithmetic number, because the mean of its divisors is an integer number (1802109085560).

Almost surely, 242255333355224 is an apocalyptic number.

42255333355224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42255333355224 is an abundant number, since it is smaller than the sum of its proper divisors (73079648120616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42255333355224 is a wasteful number, since it uses less digits than its factorization.

42255333355224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129393400 (or 129393396 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 48.

The spelling of 42255333355224 in words is "forty-two trillion, two hundred fifty-five billion, three hundred thirty-three million, three hundred fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1237 2474 3711 4948 7422 9896 13607 14844 27214 29688 40821 54428 81642 108856 163284 326568 129392143 258784286 388176429 517568572 776352858 1035137144 1423313573 1552705716 2846627146 3105411432 4269940719 5693254292 8539881438 11386508584 17079762876 34159525752 160058080891 320116161782 480174242673 640232323564 960348485346 1280464647128 1760638889801 1920696970692 3521277779602 3841393941384 5281916669403 7042555559204 10563833338806 14085111118408 21127666677612 42255333355224